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Finding the Third Proportional to 19,136.25 and 26,426.25

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Solution

The third proportional to 19,136.25 and 26,426.25 is: 36,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.25 : 26,426.25 = 26,426.25 : x
  2. Step 2: Convert to fraction form
    19,136.25/26,426.25 = 26,426.25/x
  3. Step 3: Cross multiply
    19,136.25x = 26,426.25 × 26,426.25
  4. Step 4: Simplify right side
    19,136.25x = 698,346,689.06
  5. Step 5: Solve for x
    x = 698,346,689.06/19,136.25
  6. Step 6: Final answer
    x = 36,493.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.